<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2526-6136</journal-id>
<journal-title><![CDATA[Educação Matemática Debate]]></journal-title>
<abbrev-journal-title><![CDATA[Ed. Mat. Deb.]]></abbrev-journal-title>
<issn>2526-6136</issn>
<publisher>
<publisher-name><![CDATA[Universidade Estadual de Montes Claros]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2526-61362023000100105</article-id>
<article-id pub-id-type="doi">10.46551/emd.v7n13a07</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Diálogo sobre os conhecimentos aritméticos contidos na manipulação das duas réguas para cálculo de William Oughtred]]></article-title>
<article-title xml:lang="en"><![CDATA[Dialogue on the arithmetic knowledge contained in the manipulation of two slide rules by William Oughtred]]></article-title>
<article-title xml:lang="es"><![CDATA[Diálogo sobre el conocimiento aritmético contenido en la manipulación de dos reglas de cálculo por William Oughtred]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lima]]></surname>
<given-names><![CDATA[Amanda Cardoso Benicio de]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Soares]]></surname>
<given-names><![CDATA[Kawoana da Costa]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pereira]]></surname>
<given-names><![CDATA[Ana Carolina Costa]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade Estadual do Ceará  ]]></institution>
<addr-line><![CDATA[Fortaleza CE]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Fortaleza  ]]></institution>
<addr-line><![CDATA[Fortaleza CE]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Fortaleza  ]]></institution>
<addr-line><![CDATA[Fortaleza CE]]></addr-line>
<country>Brasil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<volume>7</volume>
<numero>13</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S2526-61362023000100105&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S2526-61362023000100105&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S2526-61362023000100105&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo: Esse artigo apresenta o processo multiplicativo envolvendo as duas réguas para cálculo de William Oughtred (1574-1660), publicada em 1639 na The Declaration of The Two Rulers for Calculations, uma adição ao tratado The Circles of Proportion and the Horizontall Instrvment. Para isso, utilizamos uma abordagem metodológica da pesquisa documental, buscando em fontes primárias e secundárias. Dessa forma, podemos perceber que a operação de multiplicação realizada pelo aparato pode desenvolver no docente em formação inicial e continuada conceitos relacionados à proporcionalidade, ordem e classe do sistema decimal e propriedade dos logaritmos, trazendo um significado prático a uma matemática escolar já sedimentada historicamente.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This article presents the multiplicative process involving William Oughtred's (1574-1660) two rulers for calculations, published in 1639 in The Declaration of The Two Rulers for Calculations, an addition to the treatise The Circles of Proportion and the Horizontall Instrvment. For this, we used a methodological approach of documentary research, searching through primary and secondary sources. Thus, we can see that the multiplication operation performed by the apparatus can develop in teachers in initial and continuing education concepts related to proportionality, order and class of the decimal system and properties of logarithms, bringing a practical meaning to a historically sedimented school mathematics.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Este artículo presenta el proceso multiplicativo de las dos reglas para cálculos de William Oughtred (1574-1660), publicado en 1639 en The Declaration of The Two Rulers for Calculations, una adición al tratado The Circles of Proportion and the Horizontall Instrvment. Para ello, utilizamos un enfoque metodológico de investigación documental, buscando en fuentes primarias y secundarias. De esta forma, podemos darnos cuenta de que la operación de multiplicación realizada por el aparato puede desarrollar en el profesor en formación inicial y continuada conceptos relacionados con la proporcionalidad, orden y clase del sistema decimal y propiedad de los logaritmos, aportando un sentido práctico a una matemática escolar ya históricamente sedimentada.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Operação de Multiplicação]]></kwd>
<kwd lng="pt"><![CDATA[Duas Réguas Para Cálculo]]></kwd>
<kwd lng="pt"><![CDATA[História da Matemática]]></kwd>
<kwd lng="pt"><![CDATA[Recurso Didático.]]></kwd>
<kwd lng="en"><![CDATA[Multiplication Operation]]></kwd>
<kwd lng="en"><![CDATA[Two Slide Rules]]></kwd>
<kwd lng="en"><![CDATA[Math History]]></kwd>
<kwd lng="en"><![CDATA[Didactic Resource.]]></kwd>
<kwd lng="es"><![CDATA[Operación de Multiplicación]]></kwd>
<kwd lng="es"><![CDATA[Dos Reglas de Cálculo]]></kwd>
<kwd lng="es"><![CDATA[Historia de las Matemáticas]]></kwd>
<kwd lng="es"><![CDATA[Recurso Didáctico.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[ALBUQUERQUE]]></surname>
<given-names><![CDATA[Suziê Maria]]></given-names>
</name>
<name>
<surname><![CDATA[OLIVEIRA]]></surname>
<given-names><![CDATA[Francisco Wagner Soares]]></given-names>
</name>
<name>
<surname><![CDATA[MARTINS]]></surname>
<given-names><![CDATA[Eugeniano Brito]]></given-names>
</name>
<name>
<surname><![CDATA[PEREIRA]]></surname>
<given-names><![CDATA[Ana Carolina Costa]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Pesquisas envolvendo instrumentos históricos matemáticos e a interface entre história e ensino: uma visão dos trabalhos desenvolvidos no GPEHM]]></article-title>
<source><![CDATA[Boletim Online de Educação Matemática]]></source>
<year>2018</year>
<volume>6</volume>
<numero>12</numero>
<issue>12</issue>
<page-range>128-44</page-range><publisher-loc><![CDATA[Florianópolis ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[ALTOÉ]]></surname>
<given-names><![CDATA[Renan Oliveira]]></given-names>
</name>
<name>
<surname><![CDATA[ROMÃO]]></surname>
<given-names><![CDATA[Gabriel Nazarh Aprahamian de Oliveira]]></given-names>
</name>
<name>
<surname><![CDATA[JESUS]]></surname>
<given-names><![CDATA[Thamires Belo de]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Contribuições de uma oficina na formação de professores: discussão sobre a importância do desenho geométrico nas aulas de Geometria]]></article-title>
<source><![CDATA[Debates em Educação Científica e Tecnológica]]></source>
<year>2016</year>
<volume>6</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>13-26</page-range><publisher-loc><![CDATA[Vila Velha ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[ALVES]]></surname>
<given-names><![CDATA[Verusca Batista]]></given-names>
</name>
<name>
<surname><![CDATA[BATISTA]]></surname>
<given-names><![CDATA[Antonia Naiara de Sousa]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Uma breve discussão teórica acerca do uso de instrumentos matemáticos históricos no ensino da Matemática]]></article-title>
<source><![CDATA[Boletim Cearense de Educação e História da Matemática]]></source>
<year>2016</year>
<volume>3</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>48-59</page-range><publisher-loc><![CDATA[Fortaleza ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<collab>BRASIL</collab>
<source><![CDATA[Base Nacional Comum Curricular: Educação Infantil e Ensino Fundamental]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Brasília ]]></publisher-loc>
<publisher-name><![CDATA[MEC/SEB]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<collab>BRASIL</collab>
<source><![CDATA[Base Nacional Comum Curricular: Ensino Médio]]></source>
<year></year>
<publisher-loc><![CDATA[Brasília ]]></publisher-loc>
<publisher-name><![CDATA[MEC/SEB]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[BRIGGS]]></surname>
<given-names><![CDATA[Henry]]></given-names>
</name>
</person-group>
<source><![CDATA[Logarithmorum Chilias Prima]]></source>
<year>1617</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="">
<collab>CAMBRIDGE</collab>
<source><![CDATA[Paper slide-rule]]></source>
<year>2021</year>
<publisher-loc><![CDATA[Cambridge ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[LIMA]]></surname>
<given-names><![CDATA[Amanda Cardoso Benicio de]]></given-names>
</name>
<name>
<surname><![CDATA[SOARES]]></surname>
<given-names><![CDATA[Kawoana da Costa]]></given-names>
</name>
<name>
<surname><![CDATA[ALVES]]></surname>
<given-names><![CDATA[Verusca Batista]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[As duas réguas para cálculo de William Oughtred como objeto de estudo sobre a interface entre a história e o ensino de Matemática]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[PEREIRA]]></surname>
<given-names><![CDATA[Ana Carolina Costa]]></given-names>
</name>
<name>
<surname><![CDATA[BATISTA]]></surname>
<given-names><![CDATA[Antônia Naiara de Sousa]]></given-names>
</name>
<name>
<surname><![CDATA[OLIVEIRA]]></surname>
<given-names><![CDATA[Gisele Pereira]]></given-names>
</name>
</person-group>
<source><![CDATA[Pesquisas sobre ensino de Matemática no GPEHM Junior: construindo uma prática investigativa]]></source>
<year>2021</year>
<page-range>25-36</page-range><publisher-loc><![CDATA[Iguatú ]]></publisher-loc>
<publisher-name><![CDATA[Quipá]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[LIMA]]></surname>
<given-names><![CDATA[Amanda Cardoso Benicio de]]></given-names>
</name>
<name>
<surname><![CDATA[SOARES]]></surname>
<given-names><![CDATA[Kawoana da Costa]]></given-names>
</name>
<name>
<surname><![CDATA[PEREIRA]]></surname>
<given-names><![CDATA[Ana Carolina Costa]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Aspectos históricos e matemáticos incorporados na construção da escala dos números de William Oughtred (1574-1660).]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[COSTA]]></surname>
<given-names><![CDATA[Elisangela André da Silva]]></given-names>
</name>
<name>
<surname><![CDATA[FREITAS]]></surname>
<given-names><![CDATA[Bruno Miranda]]></given-names>
</name>
<name>
<surname><![CDATA[DANTAS]]></surname>
<given-names><![CDATA[Jeane Pereira]]></given-names>
</name>
</person-group>
<source><![CDATA[Diálogos entre escola e universidade na formação continuada]]></source>
<year>2022</year>
<page-range>94-109</page-range><publisher-loc><![CDATA[Fortaleza ]]></publisher-loc>
<publisher-name><![CDATA[Imprece]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[OUGHTRED]]></surname>
<given-names><![CDATA[William]]></given-names>
</name>
</person-group>
<source><![CDATA[The Circles of Proportion and the Horizontal Instrvment]]></source>
<year>1633</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Augustine Mathewes]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[OUGHTRED]]></surname>
<given-names><![CDATA[William]]></given-names>
</name>
</person-group>
<source><![CDATA[The Circles of Proportion and the Horizontall Instrvment]]></source>
<year>1639</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Elias Allen]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[PEREIRA]]></surname>
<given-names><![CDATA[Ana Carolina Costa]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Um levantamento de pesquisas brasileiras envolvendo instrumentos matemáticos a partir de estudos publicados no SNHM]]></article-title>
<source><![CDATA[Tangram]]></source>
<year>2022</year>
<volume>5</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>184-211</page-range><publisher-loc><![CDATA[Dourados ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[SANTOS]]></surname>
<given-names><![CDATA[Andressa Gomes dos]]></given-names>
</name>
</person-group>
<source><![CDATA[Os aspectos matemáticos relacionados à média geométrica que emergem a partir da manipulação da escala dos números (1623) elaborada por Edmund Gunter com licenciandos em Matemática. 2022]]></source>
<year></year>
<publisher-loc><![CDATA[Fortaleza ]]></publisher-loc>
<publisher-name><![CDATA[Instituto Federal de Educação, Ciência e Tecnologia do Ceará]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[SAITO]]></surname>
<given-names><![CDATA[Fumikasu]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Instrumentos matemáticos dos séculos XVI e XVII na articulação entre história, ensino e aprendizagem de Matemática]]></article-title>
<source><![CDATA[Revista de Matemática, Ensino e Cultura]]></source>
<year>2014</year>
<volume>16</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>25-47</page-range><publisher-loc><![CDATA[Natal ]]></publisher-loc>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
